Home / 65,313-97,716

Finding the Third Proportional to 65,313 and 97,716

Calculator

Solution

The third proportional to 65,313 and 97,716 is: 146,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,313 : 97,716 = 97,716 : x
  2. Step 2: Convert to fraction form
    65,313/97,716 = 97,716/x
  3. Step 3: Cross multiply
    65,313x = 97,716 × 97,716
  4. Step 4: Simplify right side
    65,313x = 9,548,416,656
  5. Step 5: Solve for x
    x = 9,548,416,656/65,313
  6. Step 6: Final answer
    x = 146,194.73

Related Problems

Find third proportional to 32,656.50 and 48,858
Half scale
Find third proportional to 130,626 and 195,432
Double scale
Find third proportional to 65,315 and 97,719
Similar ratio
Find third proportional to 97,969.50 and 146,574
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.